/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 8 In the following exercise, write... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Q. 8 (page 1173)

In the following exercise, write the first five terms of the sequence whose general term is given.

an=2n鈭�3n

Short Answer

Expert verified

The first five terms of the sequence whose general term isan=2n鈭�3nare鈭�1,鈭�2,鈭�1,鈭�4,17.

Step by step solution

01

Step 1. Given information

Thegeneraltermforthesequenceisgivenasan=2n鈭�3nWehavetofindthefirstfivetermsofthesequence.

02

Step 2. Calculating the terms

Wewillsubstituten=1,2,3,4and5intheordertoobtainthefirstfivetermsofthesequence.Now,

n:12345an:a1=21鈭�31=2鈭�3=鈭�1a2=22鈭�32=4鈭�6=鈭�2a3=23鈭�33=8鈭�9=鈭�1a4=24鈭�34=16鈭�12=鈭�4a5=25鈭�35=32鈭�15=17
03

Step 3. Conclusion

From the above step, we can conclude that the first five terms of the sequence will be鈭�1,鈭�2,鈭�1,鈭�4,17.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In the following exercises, write the first five terms of each arithmetic sequence with the given first term and common difference.

a1=8andd=-2

Determine if each sequence is arithmetic. If so, indicate the common difference.

a9,20,31,42,53,64,鈥�b12,6,0,-6,-12,-18,鈥�c7,1,10,4,13,7,鈥�

In the following exercises, expand each binomial.

(m+n)5

Find the seventeenth term of a sequence where the first term is -21and the common difference is two.

Write the first five terms of the sequence where the first term is 11 and the common difference is d = 鈭�8.
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Calculus

Read Explanation

Mechanics Maths

Read Explanation

Applied Mathematics

Read Explanation

Logic and Functions

Read Explanation

Decision Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.